Mixed Topic Worksheet Grades 4/5: Day 012
- 1
Question 1. A cuboid has length 2a cm, width 3a cm and height 4a cm.
Write a simplified expression, in cm³, for the volume of the cuboid.Multiplying Algebraic Terms▶ Show worked answerHide worked answer
- M1: multiplies the three dimensions, 2 × 3 × 4 and a × a × a
- A1: 24a³
Answer: 24a³[2 marks] - 2
Question 2. Write these fractions in order of size, smallest first. 3/4, 5/8, 1/2, 7/8
Ordering Fractions▶ Show worked answerHide worked answer
- M1: Write each fraction with denominator 8: 6/8, 5/8, 4/8, 7/8
- A1: 1/2, 5/8, 3/4, 7/8
Answer: 1/2, 5/8, 3/4, 7/8[2 marks] - 3
Question 3. A dice is rolled 80 times.
It lands on 6 on 28 of the rolls.
Is the dice likely to be biased? Give a reason for your answer.Identifying Bias▶ Show worked answerHide worked answer
- B1: relative frequency dfrac2880 = 0.35 (or a fair dice would give about 13 sixes)
- B1: Yes, 0.35 is much more than dfrac16
Answer: Yes, the relative frequency 0.35 is much more than dfrac16[2 marks] - 4
Question 4. Here is a table of values for y = x² - 2x - 1
x: -1, 0, 1, 2, 3
y: square, -1, -2, square, 2
Complete the table. [2]Plotting Quadratics▶ Show worked answerHide worked answer
- B1: y = 2 when x = -1
- B1: y = -1 when x = 2
Answer: 2 and -1[2 marks] - 5
Question 5. A ship sails from a port P on a bearing of 036^°.
The ship is 15 km north of P.
Work out how far east of P the ship is.
Give your answer to 1 decimal place.Problem Solving with Bearings▶ Show worked answerHide worked answer
- M1: 15 × tan 36^°
- A1: 10.9 km
Answer: 10.9 km[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 012
- 1
Question 1. A cuboid has length 2a cm, width 3a cm and height 4a cm.
[2 marks]
Write a simplified expression, in cm³, for the volume of the cuboid.Multiplying Algebraic Terms▶ Show worked answerHide worked answer
- M1: multiplies the three dimensions, 2 × 3 × 4 and a × a × a
- A1: 24a³
Answer: 24a³ - 2
Question 2. Write these fractions in order of size, smallest first. 3/4, 5/8, 1/2, 7/8
[2 marks]Ordering Fractions▶ Show worked answerHide worked answer
- M1: Write each fraction with denominator 8: 6/8, 5/8, 4/8, 7/8
- A1: 1/2, 5/8, 3/4, 7/8
Answer: 1/2, 5/8, 3/4, 7/8 - 3
Question 3. A dice is rolled 80 times.
[2 marks]
It lands on 6 on 28 of the rolls.
Is the dice likely to be biased? Give a reason for your answer.Identifying Bias▶ Show worked answerHide worked answer
- B1: relative frequency dfrac2880 = 0.35 (or a fair dice would give about 13 sixes)
- B1: Yes, 0.35 is much more than dfrac16
Answer: Yes, the relative frequency 0.35 is much more than dfrac16 - 4
Question 4. Here is a table of values for y = x² - 2x - 1
[2 marks]
x: -1, 0, 1, 2, 3
y: square, -1, -2, square, 2
Complete the table. [2]Plotting Quadratics▶ Show worked answerHide worked answer
- B1: y = 2 when x = -1
- B1: y = -1 when x = 2
Answer: 2 and -1 - 5
Question 5. A ship sails from a port P on a bearing of 036^°.
[2 marks]
The ship is 15 km north of P.
Work out how far east of P the ship is.
Give your answer to 1 decimal place.Problem Solving with Bearings▶ Show worked answerHide worked answer
- M1: 15 × tan 36^°
- A1: 10.9 km
Answer: 10.9 km
Mixed Topic Worksheet Grades 4/5: Day 012
- 1
Question 1. A cuboid has length 2a cm, width 3a cm and height 4a cm.
Write a simplified expression, in cm³, for the volume of the cuboid.Multiplying Algebraic Terms▶ Show worked answerHide worked answer
- M1: multiplies the three dimensions, 2 × 3 × 4 and a × a × a
- A1: 24a³
Answer: 24a³[2 marks] - 2
Question 2. Write these fractions in order of size, smallest first. 3/4, 5/8, 1/2, 7/8
Ordering Fractions▶ Show worked answerHide worked answer
- M1: Write each fraction with denominator 8: 6/8, 5/8, 4/8, 7/8
- A1: 1/2, 5/8, 3/4, 7/8
Answer: 1/2, 5/8, 3/4, 7/8[2 marks] - 3
Question 3. A dice is rolled 80 times.
It lands on 6 on 28 of the rolls.
Is the dice likely to be biased? Give a reason for your answer.Identifying Bias▶ Show worked answerHide worked answer
- B1: relative frequency dfrac2880 = 0.35 (or a fair dice would give about 13 sixes)
- B1: Yes, 0.35 is much more than dfrac16
Answer: Yes, the relative frequency 0.35 is much more than dfrac16[2 marks] - 4
Question 4. Here is a table of values for y = x² - 2x - 1
x: -1, 0, 1, 2, 3
y: square, -1, -2, square, 2
Complete the table. [2]Plotting Quadratics▶ Show worked answerHide worked answer
- B1: y = 2 when x = -1
- B1: y = -1 when x = 2
Answer: 2 and -1[2 marks] - 5
Question 5. A ship sails from a port P on a bearing of 036^°.
The ship is 15 km north of P.
Work out how far east of P the ship is.
Give your answer to 1 decimal place.Problem Solving with Bearings▶ Show worked answerHide worked answer
- M1: 15 × tan 36^°
- A1: 10.9 km
Answer: 10.9 km[2 marks]